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Related papers: Circles and Triangles, the NLSM and Tr($\Phi^3$)

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We describe the connection between spontaneously-broken higher symmetries and soft theorems for scattering amplitudes of their associated Nambu-Goldstone bosons. Our main result is a new sub-leading double soft pion theorem in theories with…

High Energy Physics - Theory · Physics 2026-02-24 Jonah Berean-Dutcher , Maria Derda , Julio Parra-Martinez

Recently, it was argued that the thermal deconfinement transition in pure Yang-Mills theory is continuously connected to a quantum phase transition in softly-broken N=1 SYM theory on R^3 x S^1. The transition is semiclassically calculable…

High Energy Physics - Theory · Physics 2015-06-16 Erich Poppitz , Tin Sulejmanpasic

Soft theorems describe the behavior of scattering amplitudes when one or several external particles are taken to be energetically soft. In tree-level gravity there are universal soft theorems for the three leading orders in the soft…

High Energy Physics - Theory · Physics 2025-04-24 Eivind Jørstad , Sruthi A. Narayanan

This study seeks a better comprehension of anomalies by exploring (n+1)-point perturbative amplitudes in a 2n-dimensional framework. The involved structures combine axial and vector vertices into odd tensors. This configuration enables…

High Energy Physics - Theory · Physics 2024-02-09 José Fernando Thuorst , Luciana Ebani , Thalis José Girardi

We compute the tree-level current for the emission of a soft quark-antiquark pair in association with a gluon. This soft current is the last missing ingredient to understand the infrared singularities that can arise in…

High Energy Physics - Phenomenology · Physics 2023-02-01 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Zhengwen Liu

We describe new on-shell recursion relations for tree-amplitudes in N=1 and N=2 gauge theories and use these to show that the structure of the S-matrix in pure N=1 and N=2 gauge theories resembles that of pure Yang-Mills. We proceed to…

High Energy Physics - Theory · Physics 2010-05-25 Shailesh Lal , Suvrat Raju

Soft factorization has been shown to hold to sub-leading order in QED and to sub-sub-leading order in perturbative quantum gravity, with various loop and non-universal corrections that can be found. Here we show that all terms factorizing…

High Energy Physics - Theory · Physics 2021-04-06 Colby DeLisle , Jordan Wilson-Gerow , Philip Stamp

In the large top-mass limit, Higgs plus multi-gluon amplitudes in QCD can be computed using an effective field theory. This approach turns the computation of such amplitudes into that of form factors of operators of increasing classical…

High Energy Physics - Theory · Physics 2019-01-30 Andreas Brandhuber , Martyna Kostacinska , Brenda Penante , Gabriele Travaglini

The soft and collinear singularities of general scalar and tensor one-loop N-point integrals are worked out explicitly. As a result a simple explicit formula is given that expresses the singular part in terms of 3-point integrals. Apart…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefan Dittmaier

Scattering amplitudes for colored theories have recently been formulated in a new way, in terms of curves on surfaces. In this note we describe a canonical set of functions we call surface functions, associated to all orders in the…

High Energy Physics - Theory · Physics 2026-04-08 Nima Arkani-Hamed , Hadleigh Frost , Giulio Salvatori

In this paper, we study the single and double soft behaviors of tree level off-shell currents and on-shell amplitudes in nonlinear sigma model(NLSM). We first propose and prove the leading soft behavior of the tree level currents with a…

High Energy Physics - Theory · Physics 2015-08-27 Yi-Jian Du , Hui Luo

Mechanism for the single transverse spin asymmeties in the pion production, p^\uparrow + p'\to \pi(\ell_T) + X, and the \Lambda hyperon polarization, p + p' \to \Lambda^\uparrow (\ell_T)+ X, is investigated in the framework of QCD…

High Energy Physics - Phenomenology · Physics 2015-06-25 Yuji Koike

We initiate a systematic study on how to extract planar integrands of (supersymmetric) scattering amplitudes with $L$ loops and $n$ legs in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory from the recently proposed (bosonic) generating…

High Energy Physics - Theory · Physics 2026-04-09 Song He , Yao-Qi Zhang

The traditional formulation of string amplitudes via worldsheet integrals provides a parametrization of the moduli space that fails to expose the complete singularity structure of the amplitudes. This problem is solved by the positive…

High Energy Physics - Theory · Physics 2025-12-02 Carolina Figueiredo , Marcos Skowronek

We present an improved calculation on the pionic twist-3 distribution amplitudes $\phi^{\pi}_{p}$ and $\phi^{\pi}_{\sigma}$, which are studied within the QCD sum rules. By adding all the uncertainties in quadrature, it is found that…

High Energy Physics - Phenomenology · Physics 2011-02-18 Tao Zhong , Xing-Gang Wu , Jia-Wei Zhang , Yun-Qing Tang , Zhen-Yun Fang

Tree and loop level scattering amplitudes which involve physical massless bosons are derived directly from physical constraints such as locality, symmetry and unitarity, bypassing path integral constructions. Amplitudes can be projected…

High Energy Physics - Theory · Physics 2018-06-13 Rutger H. Boels , Hui Luo

We analyse the twist-three amplitudes that can give rise to single-spin asymmetries in hadron-hadron scattering; in so doing we bring to light a novel factorisation property. As already known, the requirement of an imaginary part leads to…

High Energy Physics - Phenomenology · Physics 2011-09-13 Philip G. Ratcliffe

We demonstrate that the tree level amplitudes and the explicit formulas of soft factors can be uniquely determined by soft theorems and the universality of soft factors. By imposing the soft theorems and the universality, as well as the…

High Energy Physics - Theory · Physics 2026-05-05 Kang Zhou

In the model the entire high-energy part of the amplitude (Regge power dependence from the total energy) comes as consequence of Gribov's diffusion of the constituent quarks in the space of rapidities and impact parameters. Charge exchange…

High Energy Physics - Phenomenology · Physics 2011-04-15 I. I. Levintov

We consider limits of $\mathcal{N} = 4$ super-Yang-Mills (SYM) theory that approach BPS bounds. These limits result in non-relativistic near-BPS theories that describe the effective dynamics near the BPS bounds and upon quantization are…

High Energy Physics - Theory · Physics 2021-04-08 Stefano Baiguera , Troels Harmark , Yang Lei , Nico Wintergerst